BMO and commutators of martingale transforms

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1981 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 31, pages 265-270 (eissn: 1777-5310,

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Authors: Janson, Svante;

doi: 10.5802/aif.827

BMO and commutators of martingale transforms

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Abstract

The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on L p , 1 < p < ∞ , if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.

Keywords

d-adic martingales, Martingales and classical analysis, Other transformations of harmonic type, commutators of martingales transforms

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